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20 April, 15:45

Which set of numbers could represent the side lengths of a right triangle?

O A. 2, 3, 4

O B.

4, 5, 6

OC. 6, 9,

9, 12

D. 8, 15,

15, 17

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Answers (1)
  1. 20 April, 15:51
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    Answer: D) 8, 15, 17

    Step-by-step explanation:

    In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c² where c is the largest side.

    A) 2² + 3² = 4²

    4 + 9 = 16

    13 = 16 FALSE

    B) 4² + 5² = 6²

    16 + 25 = 36

    41 = 36 FALSE

    C) 6² + 9² = 12²

    36 + 81 = 144

    117 = 144 FALSE

    D) 8² + 15² = 17²

    64 + 225 = 289

    289 = 289 TRUE!
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